Planar and outerplanar indices of zero divisor graphs of partially ordered sets
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2021-01-30 14:12
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512.552+512.562+519.175 (1)
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BARATI, Zahra. Planar and outerplanar indices of zero divisor graphs of partially ordered sets. In: Quasigroups and Related Systems, 2018, vol. 26, nr. 2(40), pp. 173-184. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 26, Numărul 2(40) / 2018 / ISSN 1561-2848

Planar and outerplanar indices of zero divisor graphs of partially ordered sets

CZU: 512.552+512.562+519.175

Pag. 173-184

Barati Zahra
 
Department of Computer Science, Kosar University of Bojnord
 
 
Disponibil în IBN: 29 ianuarie 2021


Rezumat

For poset P with the least element 0, the zero divisor graph of P, denoted by Г(P), is an undirected graph with vertex set Z(P) and, for two distinct vertices x and y, x is adjacent to y in Г(P) if and only if fx; yg` = f0g. In this paper, we study the planar and outerplanar indices of Г(P) and completely investigate these indices of Г(P) when Atom(P) is nite.